At zero temperature, the one-loop corrections to the potential is given
using the \(\overline{\rm MS}\)  renormalization scheme [1]} as
\(V_{\rm CW}(h, s)=\frac{1}{64 \pi ^{2}} \sum _{i} N_{i} M_{i}^{4}(h, s)\left[\log \frac{M_{i}^{2}(h, s)}{\mu ^{2}}-C_{i}\right],\) 
